Atkin-Lehner |
2+ 5+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950c |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688896 |
Modular degree for the optimal curve |
Δ |
-53564538880000000 = -1 · 223 · 57 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 5 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62942,12701716] |
[a1,a2,a3,a4,a6] |
j |
-1764936900320049/3428130488320 |
j-invariant |
L |
1.2634698108571 |
L(r)(E,1)/r! |
Ω |
0.31586744749529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17390d1 |
Quadratic twists by: 5 |